H[∞]-optimal control and related minimax design problems : a dynamic game approach
Author(s)
Bibliographic Information
H[∞]-optimal control and related minimax design problems : a dynamic game approach
（Modern Birkhäuser classics）
Birkhäuser, 2008
2nd ed
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Note
[∞] is superscript
Includes bibliographical references (p. 391-403) and index
Originally published in the series Systems & control : foundations & applications
Description and Table of Contents
Description
This book is devoted to one of the fastest developing fields in modern control theory - the so-called H-infinity optimal control theory. The book can be used for a second or third year graduate level course in the subject, and researchers working in the area will find the book useful as a standard reference. Based mostly on recent work of the authors, the book is written on a good mathematical level. Many results in it are original, interesting, and inspirational. The topic is central to modern control and hence this definitive book is highly recommended to anyone who wishes to catch up with important theoretical developments in applied mathematics and control.
Table of Contents
Preface.- A General Introduction to Minimax Designs.- Basic Elements of Static and Dynamic Games.- The Discrete-Time Minimax Design Problem With Perfect State Measurements.- Continuous-Time Systems With Perfect State Measurements.- The Continuous-Time Problem With Imperfect State Measurements.- The Discrete-Time Problem With Imperfect State Measurements.- Performance Levels for Minimax Estimators.- Appendix A: Conjugate Points.- Apendix B: Danskin's Theorem.- References.- List of Corollaries, Definitions, Lemmas, Propositions, Remarks and Theorems
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